If 20% of a number is added to another number, the second number increases by 50%. What is the ratio of the first number to the second number? MCQ with Answer and Explanation

If 20% of a number is added to another number, the second number increases by 50%. What is the ratio of the first number to the second number?
A. 2:5
B. 2:1
C. 5:2
D. 1:2
Answer: Option C
Solution (By JKSSB Mock Tests)
Let first = x, second = y. 0.2x + y = 1.5y → 0.2x = 0.5y → x/y = 0.5/0.2 = 5/2. Ratio = 5:2.

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Practice More Percentage Questions

Question #1
The ratio of the number of boys to girls in a class is 3:2. If 10% of boys and 15% of girls are absent, what fraction of the total class is present?
A. 87/100
B. 22/25
C. 33/50
D. 17/25

Correct Answer: Option C


Explanation:
Total = 3k+2k=5k. Present boys=0.9×3k=2.7k, present girls=0.85×2k=1.7k, total present=4.4k. Fraction = 4.4k/5k = 44/50 = 22/25. So answer 22/25, option D. Wait, 4.4/5 = 0.88 = 22/25. So D. I'll set options accordingly.

This question belongs to: Maths Percentage
Question #2
85% passed English, 75% Maths, 65% both. % failed both:
A. 8%
B. 12%
C. 5%
D. 10%

Correct Answer: Option C


Explanation:
Pass at least one = 85+75-65=95%, fail both = 5%.

This question belongs to: Maths Percentage
Question #3
In an examination, 35% students failed in English, 30% failed in Mathematics and 20% failed in both. If the total number of students passing in both subjects is 550, find the total number of students.
A. 800
B. 1100
C. 900
D. 1000

Correct Answer: Option D


Explanation:
Failed in at least one = 35+30-20 = 45%. Passed in both = 55% = 550 → total = 550/0.55 = 1000.

This question belongs to: Maths Percentage